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Finding the Fourth Proportional to 2,635.48, 3,636.81 and 1,456.47

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Solution

The fourth proportional to 2,635.48, 3,636.81 and 1,456.47 is: 2,009.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,635.48 : 3,636.81 = 1,456.47 : x
  2. Step 2: Convert to fraction form
    2,635.48/3,636.81 = 1,456.47/x
  3. Step 3: Cross multiply
    2,635.48x = 3,636.81 × 1,456.47
  4. Step 4: Simplify right side
    2,635.48x = 5,296,904.66
  5. Step 5: Solve for x
    x = 5,296,904.66/2,635.48
  6. Step 6: Final answer
    x = 2,009.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.